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Finding the Fourth Proportional to 200,696.10, 301,044.15 and 133,919.70

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Solution

The fourth proportional to 200,696.10, 301,044.15 and 133,919.70 is: 200,879.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,696.10 : 301,044.15 = 133,919.70 : x
  2. Step 2: Convert to fraction form
    200,696.10/301,044.15 = 133,919.70/x
  3. Step 3: Cross multiply
    200,696.10x = 301,044.15 × 133,919.70
  4. Step 4: Simplify right side
    200,696.10x = 40,315,742,254.76
  5. Step 5: Solve for x
    x = 40,315,742,254.76/200,696.10
  6. Step 6: Final answer
    x = 200,879.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.